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Finding the Third Proportional to 291,394 and 634,062

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Solution

The third proportional to 291,394 and 634,062 is: 1,379,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,394 : 634,062 = 634,062 : x
  2. Step 2: Convert to fraction form
    291,394/634,062 = 634,062/x
  3. Step 3: Cross multiply
    291,394x = 634,062 × 634,062
  4. Step 4: Simplify right side
    291,394x = 402,034,619,844
  5. Step 5: Solve for x
    x = 402,034,619,844/291,394
  6. Step 6: Final answer
    x = 1,379,694.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.